Advanced Algebra by Anthony W. Knapp
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About this book :-
Basic Algebra and Advanced Algebra systematically develops essential algebraic concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Together the two books give the reader a global view of algebra, delves deeper into algebraic structures, offering a comprehensive exploration, its role in mathematics as a whole and are suitable for advanced students and aspiring mathematicians. It is clear exposition, extensive problem sets, and historical perspective make it an invaluable resource for students pursuing advanced studies in mathematics.
Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems.
This text is includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Book Detail :-
This book has following details information.
Title:
Advanced Algebra by Anthony W. Knapp by NA
Publisher:
Birkhäuser
Series:
freeCompBooks
Year:
2016
Pages:
758
Type:
PDF
Language:
English
ISBN-10 #:
0817645225
ISBN-13 #:
978-0817645229
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Transition to Modern Number Theory
2. Wedderburn Artin Ring Theory
3. Brauer Group
4. Homological Algebra
5. Three Theorems in Algebraic Number Theory
6. Reinterpretation with Adeles and Ideles
7. Infinite Field Extensions
8. Background for Algebraic Geometry
9. The Number Theory of Algebraic Curves
10. Methods of Algebraic Geometry (Continued)
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